Characterizations of exponential distribution via conditional expectations of record values

Details Characterizations of exponential distribution via conditional expectations of record values Characterizations of exponential distribution via conditional expectations of record values

2010-10-18

arxiv.org/abs/1010.3668v2

Pliska Stud. Math. Bulgar. 20 (2011), 233-242

Mathematics

Probability

Scientific paper

We prove that the exponential distribution is the only one which satisfies a
regression identity. This identity involves conditional expectation of the
sample mean of record values given two record values outside of the sample.

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